Abstract
The 3-D rotating Boussinesq equations (the "primitive" equations of geophysical fluid flows) are analyzed in the asymptotic limit of strong stable stratification. The resolution of resonances and a nonstandard small divisor problem are the basis for error estimates for such fast singular oscillating limits. Existence on infinite time intervals of regular solutions to the viscous 3-D "primitive" equations is proven for initial data in Hα, α ≥ 3/4. Existence on a long-time interval T* of regular solutions to the 3-D inviscid equations is proven for initial data in Hα, α > 5/2 (T* → ∞ as the frequency of gravity waves → ∞).
Original language | English (US) |
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Pages (from-to) | 1089-1121 |
Number of pages | 33 |
Journal | Mathematical Models and Methods in Applied Sciences |
Volume | 9 |
Issue number | 7 |
DOIs | |
State | Published - Oct 1999 |
ASJC Scopus subject areas
- Modeling and Simulation
- Applied Mathematics